Question

A pan with four eggs weighs 18 ounces. A pan with eight eggs weighs 24 ounces. What is the weight of the pan?(1 point)how many ounces??

oz.

Answer 1

Let \( p \) be the weight of the pan and \( e \) be the weight of each egg.

From the information given, we can set up two equations:

1. For the pan with four eggs:
\[
p + 4e = 18
\]

2. For the pan with eight eggs:
\[
p + 8e = 24
\]

Now, we can solve these equations. Let's first subtract the first equation from the second equation:

\[
(p + 8e) - (p + 4e) = 24 - 18
\]
This simplifies to:
\[
4e = 6
\]
Dividing both sides by 4 gives:
\[
e = \frac{6}{4} = 1.5
\]

Now, we substitute the value of \( e \) back into the first equation to find \( p \):

\[
p + 4(1.5) = 18
\]
This simplifies to:
\[
p + 6 = 18
\]
Subtracting 6 from both sides gives:
\[
p = 12
\]

Thus, the weight of the pan is \( \boxed{12} \) ounces.